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arxiv: 1807.05418 · v1 · pith:2NOKL5PMnew · submitted 2018-07-14 · 🧮 math.OA · math.AP· math.FA

Fredholm Groupoids and Layer Potentials on Conical Domains

classification 🧮 math.OA math.APmath.FA
keywords groupoidsfredholmlayerconicaldomainspotentialanalysisapplication
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We show that layer potential groupoids for conical domains constructed in an earlier paper (Carvalho-Qiao, Central European J. Math., 2013) are Fredholm groupoids, which enables us to deal with many analysis problems on singular spaces in a unified treatment. As an application, we obtain Fredholm criteria for operators on layer potential groupoids.

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